Let's divide 584668 by 3
We want to divide 584668 by 3.

Moving on to step 1:
If we divide 5 by 3, we get 1 and a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 3 from 5 to get 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 3

Let's proceed to step 2:
3 goes into 28 9 times with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 19.0
If we subtract 27 from 28, we get 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 3

Going ahead to step 3:
14 divided by 3 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 194.0
The remainder is 2 after subtracting 12 from 14.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

On to step 4:
The number 3 fits into 26 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1948.0
If we subtract 24 from 26, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 3

Going ahead to step 5:
26 divided by 3 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 19488.0
Subtract 24 from 26 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 3

Step 6:
3 can be fit into 28 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 194889.0
Subtract 27 from 28 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 3 fits into 10 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 194889.3
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 194889.33
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 194889.33 with a balance of 0.001.